Slope parameters determined from CREX and PREX2 (published in Results in Physics)

Abstract

[Background] Very lately, the CREX group presents a skin value $\hat{I}”R_{\mathrm{skin}}^{48}(\mathrm{CREX})=0.121\pm 0.026(\exp )\pm 0.024(\mathrm{model})=0.071\sim 0.171$~fm. Meanwhile, the PREX group reported a skin value $\hat{I}”R_{\mathrm{skin}}^{208}(PREX2)=0.283\pm 0.071=0.212\sim 0.354$~fm. In our previous paper, we determined both the $L$--$\hat{I}”R_{\mathrm{skin}}^{48}$ relation and the $L$--$\hat{I}”R_{\mathrm{skin}}^{208}$ one, using 206 EoSs, where $L$ is a slope parameter. [Purpose] We determine $L$ from $\hat{I}”R_{\mathrm{skin}}^{48}(\mathrm{CREX})$ and $\hat{I}”R_{\mathrm{skin}}^{208}(PREX2)$, using 207 EoSs. [Results] The $\hat{I}”R_{\mathrm{skin}}^{48}(\mathrm{CREX})$ yields $L(\mathrm{CREX})=0\sim 51$~MeV and the $\hat{I}”R_{\mathrm{skin}}^{208}(PREX2)$ does $L(PREX2)=76\sim 165$~MeV. [Conclusion] There is no overlap between $L(\mathrm{CREX})$ and $L(PREX2)$. This is a big problem to be solved.